Least Common Multiple of 70/11, 64/151, 560/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/11, 64/151, 560/136 quickly i.e. 2240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/11, 64/151, 560/136 is 2240.

LCM(70/11, 64/151, 560/136) = 2240

LCM of 70/11, 64/151, 560/136

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 70/11,64/151,560/136

Given numbers are 70/11,64/151,560/136

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 70,64,560

Least Common Multiple of Numerators i.e. LCM of 70,64,560 is 2240.

GCF of Denominators means GCF of 11,151,136 as per the given fractions.

GCF of 11,151,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,64,560

LCM of Fractions 70/11,64/151,560/136 is 2240

2 70, 64, 560
2 35, 32, 280
2 35, 16, 140
2 35, 8, 70
5 35, 4, 35
7 7, 4, 7
1, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 7 x 1 x 4 x 1 = 2240

Least Common Multiple of 70,64,560 with GCF Formula

Least Common Multiple of 70,64,560 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 70,64,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,64,560) = 2

common factors(in case of two or more numbers have common factors) = 560

GCF(70,64,560) x common factors =2 x 560 = 1120

LCM(70,64,560) = ( 70 × 64 × 560 ) / 1120

LCM(70,64,560) = 2508800 / 1120

LCM(70,64,560) = 2240


Lets's calculate GCF of 11,151,136

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2240/1

Therefore the LCM of Fractions 70/11,64/151,560/136 is 2240

Greatest Common Factor of 11,151,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,151,136 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 11,151,136 . The biggest common factor number is the GCF number.
So the greatest common factor 11,151,136 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 70/11, 64/151, 560/136

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 70/11, 64/151, 560/136?

Answer: LCM of Numerators as per given numbers 70/11, 64/151, 560/136 is

LCM of Numerators i.e. for 70,64,560 is 2240

GCF of denominators i.e. for 11,151,136 is 1.

Thus, LCM of Fractions is 2240.Finally, LCM of Fractions for 70/11, 64/151, 560/136 is 2240.